Q: What are the prime factors of the number 560,144,860?

 A: 2, 5, 11, 29, 87797

Why are those the prime factors of the number 560,144,860?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 560,144,860

560,144,860
Factor Arrows
2280,072,430
Factor Arrows
2140,036,215
Factor Arrows
528,007,243
Factor Arrows
112,546,113
Factor Arrows
2987,797

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 11, 29, 87797

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 29 x 87,797 = 560,144,860

This can also be written as 22 x 51 x 111 x 291 x 87,7971 = 560,144,860

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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